11528448 has 72 divisors (see below), whose sum is σ = 32524128. Its totient is φ = 3612672.

The previous prime is 11528417. The next prime is 11528449. The reversal of 11528448 is 84482511.

It is a super-2 number, since 2×11528448² = 265810226577408, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11528449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12615 + ... + 13497.

It is an arithmetic number, because the mean of its divisors is an integer number (451724).

Almost surely, 2^11528448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11528448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16262064).

11528448 is an abundant number, since it is smaller than the sum of its proper divisors (20995680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11528448 is an equidigital number, since it uses as much as digits as its factorization.

11528448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919 (or 905 counting only the distinct ones).

The product of its digits is 10240, while the sum is 33.

The square root of 11528448 is about 3395.3568295541. The cubic root of 11528448 is about 225.9038408888.

The spelling of 11528448 in words is "eleven million, five hundred twenty-eight thousand, four hundred forty-eight".